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Finding the Fourth Proportional to 6,511.12, 9,754.92 and 5,477.56

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Solution

The fourth proportional to 6,511.12, 9,754.92 and 5,477.56 is: 8,206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.12 : 9,754.92 = 5,477.56 : x
  2. Step 2: Convert to fraction form
    6,511.12/9,754.92 = 5,477.56/x
  3. Step 3: Cross multiply
    6,511.12x = 9,754.92 × 5,477.56
  4. Step 4: Simplify right side
    6,511.12x = 53,433,159.60
  5. Step 5: Solve for x
    x = 53,433,159.60/6,511.12
  6. Step 6: Final answer
    x = 8,206.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.